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Finding the Fourth Proportional to 403.91, 557.24 and 286.09

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Solution

The fourth proportional to 403.91, 557.24 and 286.09 is: 394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.91 : 557.24 = 286.09 : x
  2. Step 2: Convert to fraction form
    403.91/557.24 = 286.09/x
  3. Step 3: Cross multiply
    403.91x = 557.24 × 286.09
  4. Step 4: Simplify right side
    403.91x = 159,420.79
  5. Step 5: Solve for x
    x = 159,420.79/403.91
  6. Step 6: Final answer
    x = 394.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.